Controlling Chaos in the RF-Biased Josephson Junction with Thermal Noise

In this paper the control of chaos in the rf-biased Josephson junction circuit is studied. Numerical simulation indicates that the unstable periodic orbits (UPO) embedded in the chaotic attractor can be stabilized with the delayed feedback technique. Upon controlling, operation state of the chaotic Josephson junction circuit switches back to its conventional state. Namely, phase locking is reestablished and typical I-V curve recovers. Furthermore, we investigate the influence of thermal noise on the control and estimate the range of the environmental temperature for an effective control through numerical simulation.